The local planetarium is selling tickets for the new laser light show at the price of 2 tickets for $5.00. Which graph shows the relationship between the number of tickets bought and the total cost?
All i need is the answer. Thanks!

Answer:

3.17

Step-by-step explanation:

Find the price w the discount:

4 × .25 = 1

4 - 1 = 3

Add sales tax:

3 × 1.055 = 3.165

good luck, i hope this helps :)

Answer:

Explanation:

3x + 5 + 3x + 4 + 3x + 9 = 180

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

Answer:

Step-by-step explanation:

given tanB= 4/3

so sinB=4/5

n cosB=3/5

given BC=15

BA=BC*cosB

=15*3/5

=9

AC=BC*sinA

=15*4/5

=12

Triangle ABC and DBE are similar by AAA

DB= BA-AD

=9-3

=6

DB/BA=DE/AC

6/9=DE/12

DE=12*6/9

=8

Answer:

DE = 8

Step-by-step explanation:

ΔABC and ΔDBE are similar.

As they share the same angles, the sides are in proportion to each other.

Therefore, we can solve using ratios.

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

  [tex]\sf \tan (B)=\dfrac{4}{3}[/tex]

Therefore:

[tex]\implies \sf \dfrac{DE}{BD}=\dfrac{AC}{BA}=\dfrac{4x}{3x}[/tex]

We know that BC = 15 and that AC : BA = 4x : 3x

Using Pythagoras' Theorem:

[tex]\implies \sf (3x)^2+(4x)^2=15^2[/tex]

[tex]\implies \sf 9x^2+16x^2=225[/tex]

[tex]\implies \sf x^2(9+16)=225[/tex]

[tex]\implies \sf x^2=9[/tex]

[tex]\implies \sf x=3[/tex]

Therefore,

⇒ AC = 4 · 3 = 12

⇒ BA = 3 · 3 = 9

Now we have found the length of BA, we can find the length of BD:

⇒ BD = BA - DA

⇒ BD = 9 - 3

⇒ BD = 6

As DE : BD = 4x : 3x  and  BD = 6 then:

⇒ 3x = 6

⇒ x = 2

Therefore, to find DE, substitute x = 2:

⇒ DE = 4x

⇒ DE = 4(2)

⇒ DE = 8

Answer:

Step-by-step explanation:

Distribute the negative sign to turn the equation into pure addition. Then, change the denominator of the two fractions to the same thing.

Multiply 12/11 by 3/3

[tex]\frac{12}{11}*\frac{3}{3}=\frac{36}{33}[/tex]

Multiply 2/3 by 11/11

[tex]\frac{2}{3}*\frac{11}{11} =\frac{22}{33}[/tex]

Add them together now

[tex]\frac{36}{33} +\frac{22}{33} =\frac{58}{33}[/tex]

Answer:

1.758 Hope this helps :,D haven't spoken to u in a it tho- want to rp?

Step-by-step explanation:

I hope it helps you ❤️❤️❤️

Answer:

A

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

9 x 3 = 27

27 + 27 = 54

Answer:

70

Step-by-step explanation:

Answer:

(-5 , 1)

Step-by-step explanation:

because this point lies in the shaded region.

Answer:

Distribute:

=(−2)(4x)+(−2)(−4)+x

=−8x+8+x

Combine Like Terms:

=−8x+8+x

=(−8x+x)+(8)

=−7x+8

Step-by-step explanation:

Answer:

x  

2

−4x+4=0

To solve the equation, factor x  

2

−4x+4 using formula x  

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−4

ab=4

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.

−1,−4

−2,−2

Calculate the sum for each pair.

−1−4=−5

−2−2=−4

The solution is the pair that gives sum −4.

a=−2

b=−2

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−2)(x−2)

Rewrite as a binomial square.

(x−2)  

2

To find equation solution, solve x−2=0.

x=2

Step-by-step explanation:

hope this helped heres a graph

the answer is 148

hope that helped lol

5+7=12

£720÷12= 60

5:7

5×60=300

7×60=420

300:420

Answer:

¹⁴⁵⁸³³³³³³³³⁄₁₀₀₀₀₀₀₀₀₀₀₀

Step-by-step explanation:

lol

Answer:

11) -104÷8=x

-13=x

x=-13

12) b=-56÷14

b=-4

13) -6×18=b

b=-108

14) n=40÷10

n=4

Answer:

-3 1/7

Step-by-step explanation:

The required simplified mixed number of -24 divided by 7 is -3 3/7.

To divide -24 by 7, the result is a mixed number in simplified form.

Divide -24 by 7:

-24 ÷ 7 = -3.428571...

Simplify the result as a mixed number:

To write the mixed number, we take the whole number part, which is -3, and the fractional part, which is the remainder after dividing.

The remainder is approximately 0.428571... (it goes on infinitely), but we'll round it to the nearest fraction for simplicity.

Approximately, 0.428571... is closest to 3/7.

So, the simplified mixed number is -3 3/7.

Learn more about mixed numbers here:

https://brainly.com/question/24137171

#SPJ6

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

Answer:

Step-by-step explanation:

145+15x>490. subtract 145 from both sides

15x>345, divide both sides by 15

x>23

So she will need to run for more than 23 weeks to reach her goal.

The first statement should be;

y is inversely proportional to a³.

Answer:

y = 0.64/x³

Step-by-step explanation:

y is inversely proportional to a³. This is;

y ∝ 1/a³

Thus, y = k(1/a³).

Where k is the constant of proportionality.

When y = 10, a = 2.

Thus; 10 = k(1/2³)

10 = k/8

k = 80.

Thus; y = 80(1/a³) - - -(1)

Also, a is directly proportional to x. Thus;

x ∝ a

So, x = ka

when x = 4, a = 20

Thus;

4 = 20k

k = 4/20

k = 1/5

Thus;

x = a/5

a = 5x

Put 5x for a in eq 1 to get;

y = 80(1/(5x)³)

y = (80/125) × 1/x³

y = 0.64/x³

Answer:

459.49

Step-by-step explanation:

100%->434.71

105.7%->459.48847

            ≈459.49

Answer:

18

Step-by-step explanation:

Hope this helps!

Answer: $25

Step-by-step explanation:

1: 0.18 * ? = 4.50

2: ? = $4.50 / 0.18

3: ? = $25

Answer:

blue box: 88

orange box: 13

Answer:

yes

Step-by-step explanation:

60 - 0.1(60) = 54

60 - 6 = 54

54 = 54

Answer:

y=x-9

y=2x-15

Step-by-step explanation:

To solve this we can just pick a random number for our slope and solve for the y intercept

For example lets say the slope is 1

we know that wehn x=6 y= -3 so we have the following equation

-3= 6+b

B is -9

which means one equation is

y=x-9

We can just repeat this same process

Let's say the slope is 2

-3 = 2*6+b

-3= 12

b= -15

which means taht

y=2x-15

Answer:

8 yards. Trust me. I love mental math.

Step-by-step explanation: